Personnel tests are designed to test a jobapplicant's cognitiveand/or physical abilities. A particular dexterity test is administered nationwide by a private testing service. It is known that for all tests administered lastyear, the distribution of scores was approximately normal with mean 77 and standard deviation 7.9

a. A particular employer requires job candidates to score at least 83 on the dexterity test. Approximately what percentage of the test scores during the past year exceeded 83?

b. The testing service reported to a particular employer that one of its jobcandidate's scores fell at the 95th percentile of the distribution(i.e., approximately 95% of the scores were lower than thecandidate's, and only 55% werehigher). What was thecandidate's score?